Miguel bought a movie ticket that cost $5. he also bought popcorn and a bottle of water. How much did Miguel spend altogether?

From a circular cylinder of diameter 10 cm and height 12 cm are conical cavity of the same base radius and of the same height is

Nataliya [291]

<h3>Volume of the remaining solid = 628 cm^2</h3>

<h3>Whole surface area = 659.4 cm^2</h3>

Step-by-step explanation:

Now, Given that:-

Diameter (d) = 10 cm

So, Radius (r) = 10/2 = 5cm

Height of the cylinder = 12cm.

$volume \: of \: the \: cylinder \: = \pi {r}^{2} h$

$= > \pi \times {5}^{2} \times 12 {cm}^{3} = 300\pi {cm}^{3}$

Radius of the cone = 5 cm.

Height of the cone = 12 cm.

$slant \: height \: of \: the \: cone \: = \sqrt{ {h}^{2} + \: {r}^{2} }$

$= > \sqrt{ {5}^{2}+{12}^{2} } cm \: = 13cm$

Volume of the cone = 1/3 *πr^2h

$= > \frac{1}{3} \pi \times {5}^{2} \times 12 {cm}^{3} = 100\pi {cm}^{3}$

therefore, the volume of the remaining solid

$= 300\pi {cm}^{3} - 100\pi {cm}^{3} \\ = 200 \times 3.14 {cm}^{3} = 628 {cm}^{3}$

Curved surface of the cylinder =

$2\pi \: rh \: = 2\pi \times 5 \times 12 {cm}^{2} \\ = 120\pi {cm}^{2} .$

$curved \: surface \: of \: the \: cone \: = \pi \: rl \\ = \pi \times 5 \times 13 {cm}^{2} \\ = 65\pi {cm }^{2} \\ area \: of \: (upper)circular \: base \: \\ of \: cylinder \: = \\ = \pi \: {r}^{2} = \pi \times {5}^{2}$

therefore, The whole surface area of the remaining solid

= curved surface area of cylinder + curved surface area of cone + area of (upper) circular base of cylinder

$= 120\pi {cm}^{2} + 65\pi {cm }^{2} + 25 \pi {cm}^{2} \\ = 210 \times 3.14 {cm}^{2} = 659.4 {cm}^{2}$

<h3>Hope it helps you!!</h3>

6 0

2 years ago

How many solutions do these have?? PLEASE HELP!!

expeople1 [14]

Answer:

1 - NONE

2 - INFINITE SOLUTIONS

3 - NONE

Step-by-step explanation:

4 0

3 years ago

Solve 4x−9y=13 for y.

Irina18 [472]

Answer:

$y = - \frac{13}{9} + \frac{4}{9} x$

Step-by-step explanation:

$4x - 9y = 13$

$4x - 9y - 4x = 13 - 4x$

$- 9y = 13 - 4x$

$y = 9y \div (9) = (13 - 4x) \div ( - 9)$

$y = (13 - 4x) \div( - 9)$

$y = 13 \div ( - 9) - 4x \div ( - 9)$

$y = - 13 \div 9 - 4x \div ( - 9)$

$y = - \frac{13}{9} - 4x \div ( - 9)$

$y = - \frac{13}{9} + 4x \div 9$

$\boxed{\green{y = - \frac{13}{9} + \frac{4}{9} x, x E R}}$

8 0

3 years ago

If pens cost 9 cents each, what equation could be written to calculate the cost, c, of any number of pens, p?

Nadya [2.5K]

Answer:

The total cost (in dollars) of p pens is C = 0.09 p

Step-by-step explanation:

The cost of each pen = 9 cents

Now, 1 cent = $0.01 cents

⇒ 9 cents = $0.09

So, the cost of 1 pen = $0.09

The number of pens purchased= p

Let the total cost of p pens = c

Also, the cost of p pens = p x ( Cost of 1 pen) = p ( $0.09) = 0.09 p

or, C = 0.09 p

Hence the total cost (in dollars) of p pens is C = 0.09 p.

4 0

3 years ago

3 1⁄2 kilometers = hectometers

lawyer [7]

Answer:

35 hectometers

Step-by-step explanation:

1 kilometer=10 hectometers

3 1/2=7/2

7/2*10=35

5 0

3 years ago

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